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If 3x + 5y = 9 and 5x + 3y = 7, then find the value of x + y. - Algebra

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प्रश्न

If 3x + 5y = 9 and 5x + 3y = 7, then find the value of x + y.

योग

उत्तर

Given, 3x + 5y = 9  ......(i)

5x + 3y = 7  ......(ii)

On adding equation (i) and (ii), we get

   3x + 5y = 9
+ 5x + 3y = 7   
   8x + 8y = 16

∴  8(x + y) = 16

x + y = `16/8` = 2

∴ x + y = 2

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Linear Equation in Two Variables
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2018-2019 (March) Set 1

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